Given numbers are 396,447,732,624

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 396,447,732,624 is 187160688.

Find LCM of 396,447,732,624 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 33 x 149 x 61 x 52 = 187160688

Therefore, the lowest common multiple of 396,447,732,624 is 187160688.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

396 x 447 x 732 x 624 = 80853417216

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

447 : 1, 3, 149, 447

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,447,732,624, is 3.

Now, the common factors can be found like this.

396:2x 2x 3x 3x 11

447:3x 149

732:2x 2x 3x 61

624:2x 2x 2x 2x 3x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 3x 3 = 144

Therefore, the value for common factors is 144.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 80853417216/(3x144)

LCM = 80853417216/432

LCM = 187160688

Thus, we can understand that the LCM of 396,447,732,624 is 187160688.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 958, 810, 530, 361
• LCM of 999, 396, 834, 264
• LCM of 403, 894, 753, 641
• LCM of 167, 254, 875, 882
• LCM of 714, 147, 413, 903

1. What is the LCM of 396, 447, 732, 624?

Answer: LCM of 396, 447, 732, 624 is 187160688.

2. How to calculate the LCM of 396, 447, 732, 624?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 396, 447, 732, 624.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.